Level 1 Functional Skills Mathematics SAMPLE PAPER 3 · 2020. 7. 15. · Level 1 Functional Skills...
Transcript of Level 1 Functional Skills Mathematics SAMPLE PAPER 3 · 2020. 7. 15. · Level 1 Functional Skills...
© The City and Guilds of London Institute 2020
Level 1 Functional Skills Mathematics
SAMPLE PAPER 3
Duration: 1 hour 20 minutes Total marks: 45
SECTION 2 – CALCULATOR PERMITTED
Candidate name (first, last)
First Last Candidate enrolment number Date of birth (DDMMYYYY)
Assessment date (DDMMYYYY) Centre number Candidate signature and declaration*
• If additional answer sheets are used, enter the additional number of pages in this box. • Before taking the examination, all candidates must check that their barcode label is in
the appropriate box. Incorrectly placed barcodes may cause delays in the marking process.
• Please ensure that you staple additional answer sheets to the back of this answer booklet, clearly labelling these with your full name, enrolment number, centre number and qualification number in BLOCK CAPITALS. • All candidates need to use a black/blue pen. Do not use a pencil or gel pen, unless
otherwise instructed. • If provided with source documents, these documents must be returned to City & Guilds.
Do not write on the source documents. * I declare that I had no prior knowledge of the questions in this examination and that I will not divulge to any person any information about the questions.
Please check that your name is correctly printed on the candidate barcode label. If
not, please tell the invigilator before the start of the exam.
You should have the following for this assessment
a calculator
a pen with black or blue ink
a pencil (for diagrams, graphs and charts only)
an eraser
a 30cm ruler
a protractor.
General instructions
Read through each question carefully.
You may use a dictionary.
Show your working out (where required).
Write all your working out and answers in this booklet.
Check your calculations and check that your answers make sense.
There are additional pages including graph paper at the back of this booklet if you run out of space or ask the invigilator if you need additional sheets of paper.
Version: 1.1
10
SECTION 2 – CALCULATOR PERMITTED There are 45 marks available in this section. You should check all your work as you go along. You may use a calculator.
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Q1
£ ____________________
(1 mark)
Q2
A boat is sailing North.
It turns 100 degrees in an anti-clockwise direction.
(tick one box)
A
B C D
(1 mark)
Which one of the following shows the direction in which the boat is now sailing?
What is 10% of £68.50?
N N N
N
N
12
Q3
A sea diver makes 7 different dives.
He measures how deep he dives.
This table shows his results:
Dive Number Depth
1 -14m
2 -21m
3 -7m
4 -25m
5 -19m
6 -32m
7 -18m
(1 mark)
Q4
£ ____________________
(1 mark)
What is the interest paid on £2 500 at an interest rate of 15%
What was the variation in depth for the seven dives?
Show your working
Variation ______________ metres
13
Q5
This chart shows the average monthly temperatures of Sydney and Dubai.
_____________0C
(1 mark)
Q6
An aircraft passenger weighs his bag.
He goes to the check-in desks and says that his bag weighs 14g.
The person at the desk says this must be incorrect.
(1 mark)
0
5
10
15
20
25
30
35
40
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Month
Average monthly temperatures
Sydney Dubai
What is the difference in the average monthly temperature of Sydney and Dubai in July?
Explain why.
Explanation
Tem
pera
ture
(⁰C
)
14
Q7
A parent wants a car seat for his child who is 36 months old.
He needs a seat that is front facing and uses a harness.
He looks at this table.
Car Seats
Features
Child’s age Seat type Lie Flat
Front Facing
Rear Facing
Uses harness
From birth - 12 months Baby X
6 months – 4 years Toddler A X X
Toddler B X
3.5 years – 12 years Child A X
Child B X X X
(2 marks)
Which seat type should the parent buy?
Explain your decision.
Which seat type should the parent buy?
______________________
Explanation
15
Q8
Dave and Sue are community centre workers.
They share the opening of the centre each day.
Their manager shares this work out between Dave and Sue in the ratio 3:1
She makes this rota for the first 16 days of the month.
Name Name
Day 1 Dave Day 9 Dave
Day 2 Dave Day 10 Sue
Day 3 Dave Day 11 Dave
Day 4 Dave Day 12
Day 5 Dave Day 13
Day 6 Dave Day 14
Day 7 Dave Day 15
Day 8 Dave Day 16
She needs to complete the rota for the next 5 days.
(3 marks)
Complete the rota
Show your working
16
Q9
A workplace gives one raffle ticket to its workers for each sales target that they meet.
Each month one ticket is drawn at random for a prize.
The chart shows the number of sales targets met by each worker.
(4 marks)
What is the probability that Jim will win the April draw?
Complete the probability diagram below to show your answer.
Show your working
0
1
2
3
4
5
6
7
8
Liz Jim Emma Mike
Sale
s Ta
rge
ts M
et
Workers
Sales Targets Met by Workers (April)
17
Q10
An inspector in a crisps factory measured the weight of crisps in 20 bags to check
the accuracy of their weights.
The bags were labelled Average Contents 25g
The table below shows the weight of the bags of crisps.
(4 marks)
Weight of bags of crisps in grams
24.4 25.5 25.0 25.3 24.4
26.5 25.2 24.9 24.3 25.1
25.3 25.1 25.1 24.2 24.5
24.7 24.5 26.0 25.4 25.2
Present these weights in 3 suitable groups.
Make one comment about what the results show you.
Show your working
Comment
18
Q11
A woman is training for a triathlon race, which includes a 1.5km swim.
She needs her swim time to be 33 minutes.
She trains in a swimming pool, which is 50m long.
She needs to know the average time she must swim each length.
(4 marks)
What is this time?
Show your working
___________ minutes ___________ seconds
19
Q12
A man wants to buy bags of gravel to cover his driveway.
He decides to work out the area of his driveway.
1 bag of gravel covers 14m2
3m
3m 8m
6m
(4 marks)
What is the area of his driveway?
How many bags of gravel must he buy?
Show your working
Area of driveway __________________ m2
Number of bags of gravel ______________
Sketch of driveway
Not to scale
20
Q13
A football manager needs to pick his team for the next match.
He gets some information on players in the team from previous matches.
He needs to choose between two players based on their work rate.
He measures their work rate using average and variation of the distance they covered.
Distance covered for previous matches (km)
Player A 7.2 6.8 7.6 8.7 7.4 6.8 8.0
Player B 7.9 7.3 5.8 7.6 *DNP *DNP 6.9
*DNP = Did Not Play
(6 marks)
Which player should the manager choose?
Make two comments with reference to average distance and variation in distances.
Space for working
Which player should the manager choose?
(tick one box)
Player A Player B
Comment about average
Comment about variation
21
Q14
A father and his child want to take self-defence lessons at a karate club for a year.
The club offers lessons for members and non-members.
The club holds one lesson per week.
Everyone who comes to lessons must buy a uniform and take out insurance for the year.
The father and child can only go to half of the lessons for the year.
Karate Club pricelist
Membership Adult: £20 per month
Child: £16 per month
Non-members £8.50 per lesson (all ages)
Insurance £15 per year
Uniform £95 (20% discount for members)
He needs to decide whether to take lessons as members or non-members.
(6 marks)
What should he decide to do? Explain your answer using figures.
Show your working
Decision (tick one box)
Member Non-member
Explanation
22
Q15
The owner of a trampoline park has a floor plan.
She wants to put 4 trampolines in zone 3.
She needs a scale diagram to see where the trampolines will go.
Each trampoline measures 3 metres by 1.8 metres.
She wants them placed with 2 lines of symmetry in zone 3.
(6 marks)
Zone 3
Zone 1 Zone 2
Entrance Hall
Relaxation Zone
Ground floor plan of Trampoline Park
Complete the plan below to show the positions of the trampolines.
Draw the 2 lines of symmetry.
1 metre
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Spare graph paper for Question 15
24
Extra space for working out and answers
End of Section 2